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Finding the Fourth Proportional to 2,114.91, 3,172.41 and 575.91

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Solution

The fourth proportional to 2,114.91, 3,172.41 and 575.91 is: 863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.91 : 3,172.41 = 575.91 : x
  2. Step 2: Convert to fraction form
    2,114.91/3,172.41 = 575.91/x
  3. Step 3: Cross multiply
    2,114.91x = 3,172.41 × 575.91
  4. Step 4: Simplify right side
    2,114.91x = 1,827,022.64
  5. Step 5: Solve for x
    x = 1,827,022.64/2,114.91
  6. Step 6: Final answer
    x = 863.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.